9514 1404 393
Answer:
y = -1/2x +11/2
Step-by-step explanation:
The slope of the line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(9 -7) = -1/2
The y-intercept is ...
b = y -mx
b = 2 -(-1/2)(7) = 11/2
Then the slope-intercept equation is ...
y = -1/2x +11/2
_____
<em>Alternative solution</em>
A general form equation for the line can be ...
(y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0
(2 -1)(x -7) -(7 -9)(y -2) = 0
x-7 +2y -4 = 0
x +2y -11 = 0 . . . . . general form equation
x +2y = 11 . . . . . . . standard form equation
Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.
Answer:
10 + 30
Step-by-step explanation:
10-1(-30)
10+1(30)
10+30
Answer:
Stain required to stain the ramp = 2 quarts
Step-by-step explanation:
Area of the wheelchair ramp to be stained = Surface area of the ramp - Area of the rectangular base
Surface area of the ramp = 2(area of the triangular base) + (perimeter of the base)(height)
Area of the triangular base = 
= 
=
in²
Perimeter of the triangular base = 
= 25 +
+ 25 + 
= 50 + 
= 50 + 
=
ft
Surface area of the ramp =
+
- 25×5
= 
= 
= 187.92 square feet
Since, 100 square feet area is covered by the stain = 1 quart
Therefore, 187.92 square feet will be covered by the stain = 
= 1.8792
≈ 2 quarts
3.1415... is not a rational number because it is continuous.
Hope I helped :)